5 papers · 1 filter
Branched coverings of simply connected -manifolds
Valentina Bais, Riccardo Piergallini, Daniele Zuddas
We show that, given and two closed connected oriented PL -manifolds and such that has a handle decomposition with no - and -handles, there exists a…
Branched covering representation of non-orientable -manifolds
Valentina Bais, Riccardo Piergallini, Daniele Zuddas
We show that every closed connected non-orientable PL -manifold is a simple branched covering of $\RP^4$. We also show that is a simple branched covering of the twisted…
Some examples of small irreducible exotic 4-manifolds with free abelian fundamental group
Valentina Bais, Rafael Torres, Daniele Zuddas
We produce examples of pairwise non-diffeomorphic closed irreducible 4-manifolds with non-trivial free abelian fundamental group of rank less than three and small Euler characteris…
Certifying a compact topological 4-manifold
Michael Freedman, Daniele Zuddas
We prove that compact topological 4-manifolds can be effectively presented by a finite amount of data.
Special moves for open book decompositions of 3-manifolds
Riccardo Piergallini, Daniele Zuddas
We provide a complete set of two moves that suffice to relate any two open book decompositions of a given 3-manifold. One of the moves is the usual plumbing with a positive or nega…